Answer:et
m = the age of Maggie
b = the age of her brother
Maggie's brother is 3 years younger than twice her age:
b = 2m - 3
The sum of their ages is 24:
m + b = 24
by solving the system of equations:
b = 2m - 3
m + b = 24
we find
b = 15 years
m = 9 years
Step-by-step explanation:
Answer:
--- Slope intercept
--- Point slope
Step-by-step explanation:
Given
Perpendicular to 
Required
Determine its equation
The general form of an equation is:

Where

By comparison:

Next, we calculate the slope of L.
Because L is perpendicular to
, the relationship between their slopes is:

Substitute 4 for m

The equation of L in slope intercept form is: 
Substitute -1/4 for m

In point slope form, we have:

Substitute -1/4 for m

Answer:
9.18%
Step-by-step explanation:
First, find the z-score.
z = (x − μ) / σ
z = (18 − 19.6) / 1.2
z = -1.33
Use a chart or calculator to find the probability:
P(Z < z) = 0.0918
Using the normal distribution, it is found that due to the greater z-score, Stewart caught the longer fish relative to the same specie.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean
and standard deviation
is given by:

- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
To find who caught the longer fish relative to the same specie, we need to find out who had the higher z-score.
Stewart caught a bluefish with a length of 322 mm, hence the parameters are as follows:

The z-score is:


Z = 1.41
Gina caught a pompano with a length of 176 mm, hence the parameters are as follows:

The z-score is:


Z = 0.75.
Hence Stewart caught the longer fish relative to the same specie.
More can be learned about the normal distribution at brainly.com/question/4079902
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A because | | <- around a number means the absolute value which in this case is 6.
|-6| > -6
6 > -6